Answer:
51.2 ounces.
Step-by-step explanation:
If its 20% of a 64 ounce half gallon, you just need to find the last 80% of the half gallon. Since you know it is 64 ounces you can divide it by 5 which gives you 12.8. 12.8 would be 20% so you just subtract 12.8 from 64 ounces which gives you 51.2.
The general form of a solution of the differential equation is already provided for us:

where
. We now want to find a solution
such that
and
. Therefore, all we need to do is find the constants
and
that satisfy the initial conditions. For the first condition, we have:
For the second condition, we need to find the derivative
first. In this case, we have:

Therefore:

This means that we must solve the following system of equations:

If we add the equations above, we get:

If we now substitute
into either of the equations in the system, we get:

This means that the solution obeying the initial conditions is:

Indeed, we can see that:


which do correspond to the desired initial conditions.
Forty two over one hundred
Answer:
6,000
Step-by-step explanation:
To solve the given problem
We can consider,
30% are girls of 30 people
70% are boys in 30 people
In order to get the number, we just multiply the total number
of people with the percentage of the designated target populace.
<span><span>1. </span>30 x 0.3 =
9 girls</span>
<span><span>
2. </span>30 x 0.7 =
21 boys</span>
<span><span>
3. </span>21 boys + 9
girls = 30 people</span>
Hence, there are 21 boys.